List of Publications
 On the existence and regularity of fundamental domains with least boundary area,
Differential Geom. 29 (1989), 623-663. PDF
 The isoperimetric inequality for a minimal surface with radially connected boundary,
Ann. Scuola Norm. Sup. Pisa (4), 17 (1990), 583-593. PDF
 Index, vision number, and stability of complete minimal surfaces,
Arch. Rat. Mech.
Anal. 109 (1990), 195-212. PDF
 On the analytic reflection of a minimal surface,
Pacific J. Math. 157 (1993), 29-35. PDF
 Isoperimetric inequalities on minimal submanifolds of space forms (with R. Gulliver),
Manuscripta Math. 77 (1992), 169-189. PDF
 The sharp isoperimetric inequality for minimal surfaces with radially connected
boundary in hyperbolic
space (with R. Gulliver), Inventiones Math. 109 (1992), 495-503. PDF
 Sharp isoperimetric inequalities for stationary varifolds and area minimizing flat chains mod k,
Kodai Math. J. 19 (1996), 177-190.
 Every stationary polyhedral set in R^n is area minimizing under diffeomorphisms,
Pacific J. Math. 175 (1996), 439-446.
 On the existence of higher dimensional Enneper's surface,
Comment. Math. Helvetici
71 (1996), 556-569.
 The isoenergy inequality for a harmonic map,
Houston J. Math. 24 (1998), 649-654.
 Nonexistence of certain complete minimal surfaces with planar ends (with M.
Comment. Math. Helvetici 75 (2000), 189-199.
 The isoperimetric inequality for minimal surfaces in a Riemannian manifold,
J. reine angewandte Math. 506 (1999), 205-214.
 Sufficient conditions for constant mean curvature surfaces to be round,
323 (2002), 143-156. PDF
 Embedded minimal surfaces and total curvature of curves in a manifold (with R. Gulliver),
Math. Res. Letters 10 (2003), 343-362.
 Relative isoperimetric inequality for domains outside a convex set,
Inequalities Appl. 1 (2003), 241-250.
 Isoperimetric Inequalities of Minimal Submanifolds, Global Theory of Minimal Surfaces,
Clay Math. Proceedings 2 (2005), 325-369.
Streaming Video of my MSRI Lecture
 The relative isoperimetric inequality in Cartan-Hadamard 3-manifolds (with M. Ritore),
J. reine angewandte Math. 605 (2007), 179-191.
 The double cover relative to a convex set and the relative isoperimetric inequality,
J. Aust. Math. Soc. 80 (2006), 375-382.
 Total Positive curvature of hypersurfaces with convex boundary (with M. Ghomi and M. Ritore),
J. Differential Geom. 72 (2006), 129-147. PDF
 The relative isoperimetric inequality outside a convex domain in R^n (with M. Ghomi and M. Ritore),
Calc. Var. PDE. 29 (2007), 421-429. PDF
 First eigenvalue of symmetric minimal surfaces in S^3 (with M. Soret),
Indiana Univ. Math. J. 58 (2009), 269-282. PDF
 Capillary surfaces in a convex cone (with S.-H. Park), Math. Zeitschrift 267 (2011), 875-886. PDF
 Higher dimensional minimal submanifolds generalizing the catenoid and helicoid (with J. Hoppe),
Tohoku Math. J. 65 (2013), 43-55. PDF
 Noncommutative minimal surfaces (with J. Arnlind and J. Hoppe), Lett. Math. Phys. 106 (2016), 1109-1129.
 New minimal surfaces in S^3 desingularizing the Clifford tori (with M. Soret), Math. Ann. 364 (2016),
 Stable capillary hypersurfaces in a wedge (with M. Koiso), Pacific J. Math. 280 (2016), 1-15. PDF
 On the area of minimal surfaces in a slab (with B. Daniel), Int. Math. Res. Notices 2016 (2016), 7201-7211.
 Density of a minimal submanifold and total curvature of its boundary (with R. Gulliver), Comm. Anal. Geom.
25 (2017), 545-556. PDF
 Mean curvature in manifolds with Ricci curvature bounded from below (with A. Fraser), Comment. Math.
Helv. 93 (2018), 55-69. PDF
 Higher dimensional Schwarz's surfaces and Scherk's surfaces (with J. Hoppe), to appear in Calc. Var. PDE.
 Characterizing the harmonic manifolds by the eigenfunctions of the Laplacian (with S. Kim and J. Park),
J. Geom. Phys. 126 (2018), 22-26. PDF
 Some minimal submanifolds generalizing the Clifford torus (with J. Hoppe), preprint(arxiv:1708.03430). PDF
[S1] The History of the Plateau Problem,
Proceedings of Workshop in Pure Mathematics,
12 (1992), 69-90.
[S2] Characterizing the sphere in terms of volume, area, eigenvalues, and energy,
Proceedings of Workshop in Pure Mathematics, 17 (1997), 5-17.
[S3] The isoperimetric inequality of a minimal surface,
Proceedings of the Second
International Workshop on Differential Geometry, 2 (1998), 55-66. PDF
[S4] In search of nonexistent minimal surfaces,
Trends in Mathematics, 1 (1998), 183-187.
[S5] Ray preserving metrics and applications,
Proceedings of the Sixth
International Workshop on Differential Geometry, 6 (2002), 61-72. PDF
[S6] Minimal surfaces in S^3 and Yau's conjecture,
Proceedings of the 10th
International Workshop on Differential Geometry, 10(2005), 183-188. PDF
[S7] Radial viewpoint on minimal surfaces, Surveys in Geometric Analysis and Relativity, 59-72,
Advanced Lectures in Mathematics, International Press. PDF